Diffusion-Limited Coalescence and Annihilation in Random Media

Details Diffusion-Limited Coalescence and Annihilation in Random Media Diffusion-Limited Coalescence and Annihilation in Random Media

1999-11-03

arxiv.org/abs/cond-mat/9911041v1

J. Chem. Phys. 112 (17), 7735-7740 (2000).

Physics

Condensed Matter

Statistical Mechanics

RevTeX, submitted to J. Chem. Phys

Scientific paper

10.1063/1.481365

We study the kinetics of diffusion-limited coalescence, A+A->A, and annihilation, A+A->0, in random media consisting of disconnected domains of reaction. Examples include excitons fusion and annihilation in porous matrices and along polymer chains. We begin with an exact analysis of A+A->A in a finite segment. This result is applied to coalescence in a random distribution of segment lengths, and the implications for coalescence and annihilation in percolation clusters and other confined geometries are then derived by means of scaling techniques.

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